Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6321, 6329 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6321 and 6329 is 1.
GCF(6321,6329) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6321
3 | 6321 |
7 | 2107 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 6321 are 3,7,43. Prime factorization of 6321 in exponential form is:
6321 = 31×72×431
Prime Factorization of 6329
6329 | 6329 |
1 |
Prime factors of 6329 are 6329. Prime factorization of 6329 in exponential form is:
6329 = 63291
∴ So by taking common prime factors GCF of 6321 and 6329 is 1
Factors of 6321
List of positive integer factors of 6321 that divides 6321 without a remainder.
1,3,7,21,43,49,129,147,301,903,2107,6321
Factors of 6329
List of positive integer factors of 6329 that divides 6329 without a remainder.
1,6329
Greatest Common Factor
We found the factors and prime factorization of 6321 and 6329. The biggest common factor number is the GCF number.
So the greatest common factor 6321 and 6329 is 1.
Also check out the Least Common Multiple of 6321 and 6329
(i) The GCF of 6321 and 6329 is associative
GCF of 6321 and 6329 = GCF of 6329 and 6321
1. What is the GCF of 6321 and 6329?
Answer: GCF of 6321 and 6329 is 1.
2. What are the Factors of 6321?
Answer: Factors of 6321 are 1, 3, 7, 21, 43, 49, 129, 147, 301, 903, 2107, 6321. There are 12 integers that are factors of 6321. The greatest factor of 6321 is 6321.
3. What are the Factors of 6329?
Answer: Factors of 6329 are 1, 6329. There are 2 integers that are factors of 6329. The greatest factor of 6329 is 6329.
4. How to Find the GCF of 6321 and 6329?
Answer:
Greatest Common Factor of 6321 and 6329 = 1
Step 1: Find the prime factorization of 6321
6321 = 3 x 7 x 7 x 43
Step 2: Find the prime factorization of 6329
6329 = 6329
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 6321 and 6329 is 1